You object to the first equation? (or you object to its presentation as showing any expertise?) How very critical of you. The first equation is the spherical Schwarzschild metric in the Planck limit. Your objection is unjustified. Likewise, this metric is written for a spacetime uncertainty - which can also be seen as a specific string theory relationship: \(\delta L c\delta t = L^2_P\) If you are curious about this, read up on Yoneya (1987, 1989, 1997), and then when done that, read up on Crowell and how to apply spacetime uncertainty to a metric. I did my homework, you should go do yours.